A Finite Element Method for the Computation of Parametric Minimal Surfaces
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چکیده
We present a numerical method for the computat ion of discrete solutions of the Plateau Problem. This problem consists of the investigation of minimal surfaces bounded by a prescribed Jordan curve in space. The numerical method allows to compute unstable minimal surfaces with prescribed boundary . It is based on a Boundary Element Method for which asymptotic convergence was proved and which uses the Douglas Integral. Here we extend the BEM to a Finite Element Method for piecewise linear elements.
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تاریخ انتشار 2012